SOLUTION: how far apart are the y-intercepts of the line with the equation y=2x+3 and the line that goes through the point (4,2) and has a slope of negative one?

Algebra ->  Algebra  -> Average -> SOLUTION: how far apart are the y-intercepts of the line with the equation y=2x+3 and the line that goes through the point (4,2) and has a slope of negative one?      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 137904: how far apart are the y-intercepts of the line with the equation y=2x+3 and the line that goes through the point (4,2) and has a slope of negative one?
Answer by checkley77(12569) About Me  (Show Source):
You can put this solution on YOUR website!
y=2x+3 (red line).
y intercept=3
(4,2) with slope=-1
2=-1*4+b
2=-4+b
b=2+4
b=6 the y intercept.
y=-x+6 (green line).
y intercept=6
6-3=3 answer between these 2 iy intercepts.
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x+%2B3%2C+-x+%2B6%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x +3 and -x +6).